Generalized boundary element method for solids exhibiting nonhomogeneities
Abbreviated Journal Title
Eng. Anal. Bound. Elem.
boundary element method; material nonhomogeneity; domain integral; radial basis function; MEDIA; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications
The current paper presents a generalized boundary element method to solve the material nonhomogeneous isotropic problems. A boundary integral equation is derived in which the traction kernel includes the full nonhomogeneous elasticity tensor and the domain integral involves the first order derivatives of the displacement kernel and the displacement itself as arguments of its integrand. By using a radial basis function to approximate the domain integrand and assuming the radial basis function is the divergence of a vector function, an anti-divergence scheme is developed to convert the domain integral into a boundary integral. Thus, the numerical implementation is performed with only a boundary mesh and internal collocation points for calculation. The numerical results validate the feasibility of the present approach. (C) 2001 Elsevier Science Ltd. All rights reserved.
Engineering Analysis with Boundary Elements
"Generalized boundary element method for solids exhibiting nonhomogeneities" (2001). Faculty Bibliography 2000s. 7933.